A city park planner is deciding between two proposals for a new rectangular playground. One proposal is for a playground with an area of 1930 square feet.

Question

A city park planner is deciding between two proposals for a new rectangular playground. One proposal is for a playground with an area of 1930 square feet. 
a. The second proposal is for a playground that is 11.5 meters long and 19.5 meters wide. What is the area of this playground? Use 1m = 3.28 ft. Use the correct number of significant digits. 
b. The playground will be covered with rubber mulch. Let c represent the cost in dollars to cover 1 square foot with rubber mulch. Write and simplify an algebraic expression for the amount the city will save on mulch by using the first proposal over the second. 
c. Rubber mulch costs between $11 and $17 per square foot. Will the city save at least $3000 by using the first proposal? Explain.

. · Accepted Answer

You were off by 3 and it ruined the whole response

henry2, · Answer

a. Area = L*W = (11.5*3.28) * (19.5*3.28) = 2413 sq. Ft. b. Amt. = 2413C - 1930C = 483C. c. 483C =< 3000. C =< $6.21/sq. ft. To save $3,000, the cost per sq. ft. must be 6.21 max.